During face-to-face conversation, you’ll find other person glancing (i.e. rolling eye balls) in certain directions while answering to queries. Even you may find yourself doing the same unconsciously, only if keen attention is paid.
If you or the other person is right handed then following would the interpretation of each directional glance if asked query was “What’s your favorite food?” for example. Each mode of information processing has been verbally represented.
A) Visual Memory Recall: “What was that looking like? Was that colored red o green? Was that looking like noodles? Was that decorated? Where I ate it first time?”
B) Auditory Memory Recall: “What was name of it? Who cooked it for me? With whom I ate it?”
C) Self Dialogue: “What I really like? Why can’t I remember my favorite food item? Is the query going too personal?”
D) Visual Construction: “How would he/she respond if I tell her my favorite food item as Burger? What will make him/her happy as an answer?”
E) Auditory Construction: “What would he/she say if I don’t answer query right now? How would it sound if I say ‘I like donuts…but not so much’?”
F) Kinesthetic: Glancing in this direction means person’s checking his/her feelings, emotions and sensations while being queried. You may find person glancing in same direction after asking him/her like “What if we walk to nearby restaurant and enjoy coffee?” or "Are you interested in continental cuisine?" For the left handed person, direction of glance might be reverse for same information processing.
Let me be clear that these are general interpretations. Eye movements might differ ethnicity, culture and society wise across the globe. Only close observation and proper querying can help in disclosing true clues they give away.